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3 years ago

10

The side of a cube is measured to be 5.1cm. Between what limits of reading does its volume lie? State the limits to 3 decimal pl

aces.

1 answer:

Aliun [14]3 years ago

6 0

132.651 cm bc you do 5.1 x 5.1 x5. 1 and you will get 132.651 cm.
volume=l x w x h

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A store has apples on sale for $21.00 for 6 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $126.

fgiga [73]

Answer:

115 apples

Step-by-step

6 pounds of apple = $21.00

Cost per pound :$21.00 / 6 = $3.5 per Pound 1 pound = 16 ounces16 ounces cost $3.51 ounce = $3.5 / 16 = $0.218755 ounces will cost :5 * 0.21875 = $1.09375Number of 5 ounce apple that can be purchased with $126$126 / $1.09375= 115.2Approximately 115 apples

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2 years ago

Read 2 more answers

While on Vacation, Sandra wants to buy 2 wallets. There are 7 different patterns she can choose from. In how many ways can Sandr

Alex777 [14]

There are 14 ways to choose wallets?

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4 years ago

Read 2 more answers

PLEASSSE I HAVE BEEN STUCK FOR 30 MINS!

TiliK225 [7]

FH = 2*JH = 2*4 = 8 cm
Area(EFJH) = FH²/2 = 8²/2 = 64/2 = 32 cm²

AC = 2*JC = 2*9 = 18 cm
Area(ABCD) = AC²/2 = 18²/2 = 324/2 = 162 cm²

Area of the shaded region = 162 - 32 = 130 cm²

8 0

3 years ago

One hundred teachers attended a seminar on mathematical problem solving. The attitudes of representative sample of 12 of the tea

andrew11 [14]

Answer:

a) 1.92

b) 3.25

c) 1.5

d) -5.23

Step-by-step explanation:

We are given the following in the question:

4, 7, -1, 1, 0, 5, -2, 2, -1, 6, 5, -3

a) mean of score change

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{23}{12} = 1.92$

b) standard deviation for this population

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences = 126.92

$\sigma = \sqrt{\frac{126.92}{12}} = 3.25$

c) median change score

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: -3, -2, -1, -1, 0, 1, 2, 4, 5, 5, 6, 7

Median =

$\dfrac{6^{th} + 7^{th}}{2} = \dfrac{1+2}{2} = 1.5$

d) change score that is 2.2 standard deviations below the mean.

$x = \mu - 2.2(\sigma)\\x = 1.92-2.2(3.25)\\x = -5.23$

4 0

3 years ago

Martin wants to ship a souvenir baseball bat that is 16 inches long in this box.

stich3 [128]

Answer:

Step-by-step explanation:

Remark

The first job is to find the diagonal along the bottom. Pretend that the sides and top do not exist for just a moment.

Givens

It becomes a Pythagorean problem.

a = 12

b = 9

c = ?

Solution

a^2 + b^2 = c^2

144 + 81 = c^2

c^2 = 225

sqrt(c^2) = sqrt(225)

c = 15

Remark

Now you look at the diagram again, a little more closely this time.

The diagonal that you want is from the lower right to the upper closest left.

c = 15

d = 8

e = ?

e^2 = c^2 + d^2

e^2 = 15^2 + 8^2

e^2 = 225 + 64

e^2 = 289

e = 17

The shipping box is large enough

Note

There is one think you can note

You can do this entire problem in one step

a = 12 b = 9 c= 8

a^2 + b^2 + c^2 = diagonal from lower right to upper left^2

12^2 + 9^2 + 8^2 = diagonal^2

144 + 81 + 64 = diagonal ^2

289 = diagonal^2

diagonal = 17 just as it did before.

6 0

3 years ago